Mathematics MCQs and Answers: Mathematics MCQs are very important for OPSC, OSSC, OSSSC & Other State Exams. Aspirants who are willing to apply for the various Government exams 2022 must go through the topics of Mathematics for competitive exams, as the Mathematics is a key part of the syllabus.
Mathematics MCQ
Q1.What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6?
- a) 65
- b) 78
- c) 13
- d) 12
Q2. In a cricket match there are three types of tickets say A, B and C each costing ₹ 1000,₹ 500 and ₹ 200 respectively. The ratio of the ticket sold of category A, B and C is 3 : 2 : 5. If the total collection from selling the tickets is ₹ 2.5 crore. Find the total number of tickets sold.
- a) 50000
- B) 40000
- c) 45000
- d) 60000
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Q3. If A : B = 7 : 9 and B : C = 3 : 5, then A : B : C is equal to
- a) 7 : 9 : 5
- b) 21: 35: 45
- c) 7 : 9 : 15
- d) 7 : 3 : 15
Q4. The ratio of the length of a school ground to its width is 5 : 2. If the width is 40 m, then the length is
- a) 200 m
- b) 100 m
- c) 50 m
- d) 80 m
Q5. The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the college and 50 girls join the college, the ratio becomes 9 : 7. The number of boys in the college is :
- a) 300
- b) 400
- c) 500
- d) 600
Q6. In a school, the ratio of boys to girls is 4 : 3 and the ratio of girls to teachers is 8 : 1. The ratio of students to teachers is
- a) 56 : 3
- b) 55 : 1
- c) 49 : 3
- d) 56 : 1
Q7. The ratio 4 : 2 is the same as :
- a) 4 : 1
- b) 2 : 1
- c) 1 : 2
- d) 1 : 4
Q8. If ₹ 1000 is divided between A and B in the ratio 3 : 2, then A will receive :
- a) ₹ 400
- b) ₹ 500
- c) ₹ 600
- d) ₹ 800
Q9. If x : y = 3 : 4, then the value of (4x− y) : (2x + 3y) is
- a) 4 : 9
- b) 8 : 9
- c) 4 : 3
- d) 8 : 3
Q10. There is a ratio of 5 : 4 between two numbers. If 40 per cent of the first is 12, then 50% of the second number is :
- a) 18
- b) 24
- c) 12
- d) 20
Q11. The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is :
- a) 180
- b) 140
- c) 150
- d) 160
Q12. The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is :
- a) 48 years
- b) 40 years
- c) 36 years
- d) 32 years
Q13. The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of 50 is 4 : 1. The sum of the ages (in years) of the boys in the
class is :
- a) 2000
- b) 2500
- c) 800
- d) 400
Q14. The ratio of ages of two boys is 5 : 6. After two years the ratio will be 7 : 8. The ratio of their age after 12 years will be :
- a) 22 : 24
- b) 15 : 16
- c) 17 : 18
- d) 11 : 12
Q15. The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father’s age (in years) after 10 years will be:
- a) 50
- b) 60
- c) 80
- d) 100

ANSWER:
S1. Ans. c) 13
Sol. 2+x/5+x=⅚
= 12 + 6x = 25 +5x
=> x= 13
S2. Ans. a) 50000
Sol. Sold tickets of A,B,C categories are 3x, 2x, and 5x respectively.
Total Collection =(3x*1000)+(2x*500)+(5x*200)= 25000000
5000x = 25000000
x = 5000
Total sold tickets = 3x+2x+5x = 10x = 50000
S3. Ans. c) 7 : 9 : 15
Sol. A : B = 7 : 9 and B : C = 3 : 5 =9 : 15 (multiply by 3)
A:B:C = 7 : 9 : 15 ( B= 9 in both ration)
S4. Ans. b) 100 m
Sol. Length : Breadth = 5 : 2,
Length : 40 = 5 : 2,
L x 2 = 40 x 5, L = 100 m
S5. Ans. c) 500
Sol. 5x -50 : 3x+50 = 9 :7
35x-350 = 27x+450
x = 100
Boys = 5 x = 500
S6. Ans. a) 56 : 3
Sol. Boys : Girls = 4 : 3 = 32 : 24
Girls : Teachers = 8 : 1 = 24 : 3
Boys : Girls : Teachers = 32 : 24 : 3
Students (Boys + girls) : Teachers = (32+24) : 3 = 56 : 3
S7. Ans. a) 4 : 1
Sol. 4 : 2 = 4 x 4 : 2
= 64 x 2 : 32 = 4 : 1
S8. Ans. c) ₹ 600
Sol. 3*1000/5= 600
S9. Ans. a) 4 : 9
Sol. x/y=¾
4x-y/2x+3y=4x/y-1/ 2x/y+3
4*¾-1 / 2*¾ +3= 4/9
S10. Ans. c) 12
Sol. Number are 5x and 4x
5x* 40/100= 12
x = 6
Second number is 4x = 24
50% of 24 = 12
S11. Ans.b) 140
Sol. Let age are 5x and 9x
9x – 5x = 4x = 40 , x =10
Sum of age = 5x + 9x = 14x = 140
S12. Ans. c) 36 years
Sol. Present age is 3x and x
4 year ago : 3x-4/x-4 = frac51
x =12
A present age is 3x = 36
S13. Ans. c) 800
Sol. Boys -40, Girls -10
Average Age of boys = 20
Total Age of Boys = 20*40 = 800
S14. Ans. c) 17 : 18
Sol. Ratio after 2 years
5x+2/6x+2= 7/8
= 42x + 14 = 40x +16, x = 1
Ration after 12 years
5x+12 : 6x+12 = 17 : 18
S15. Ans. b) 60
Sol. 5x*2x= 1000
x2= 100, x= 10
Father age after 10 years
5x + 10 = 50 + 10 = 60
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